Holder estimates of solutions degenerate nonlinear parabolic equations

Gadjiev, Tahir Sadi; Aliev, Sardar Yahya; ‎Yagnalieva, Aybeniz H

doi:10.22034/cmde.2022.46575.1959

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	Holder estimates of solutions degenerate nonlinear parabolic equations
Computational Methods for Differential Equations
مقاله 15، دوره 11، شماره 1، فروردین 2023، صفحه 197-206 اصل مقاله (329.38 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2022.46575.1959
نویسندگان
Tahir Sadi Gadjiev¹^{، 2}؛ Sardar Yahya Aliev^* ³؛ Aybeniz H ‎Yagnalieva⁴
¹Azerbaijan Architecture and Construction University, Baku, Azerbaijan.
²Institute of Mathematics and Mechanics of NAS Azerbaijan‎, ‎Baku‎, ‎Azerbaijan.
³Baku State University‎, ‎Department of Higher Mathematics‎, ‎Baku‎, ‎Azerbaijan.
⁴Sumqait State University‎, ‎Sumqait‎, ‎Azerbaijan.
چکیده
Holder estimates of solutions of initial-boundary problem degenerate nonlinear parabolic equations are obtained. Estimates for solutions and parabolic Harnack inequality are proved. Also, one variant of weighted Poincare inequality is shown.
کلیدواژه‌ها
Degenerate؛ Parabolic equation؛ Nonlinear؛ Holder estimates

مراجع
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Holder estimates of solutions degenerate nonlinear parabolic equations